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katrin [286]
3 years ago
7

What would the angle be! asap answer

Mathematics
2 answers:
brilliants [131]3 years ago
6 0

Answer:

111°

Step-by-step explanation:

the sum of the outer angles of a triangle is alway 180

so 180-82-29= 69°

180-69= 111°

LekaFEV [45]3 years ago
5 0

Answer:

x = 111°

Step-by-step explanation:

Angles in a triangle add up to 180

180 - (29+82) = 69

Angles on a straight line add up to 180

180 - 69 = 111

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What is the answer need help
abruzzese [7]

Answer:

2

Step-by-step explanation:

x + 2y = 14

2y = -x + 14

y = -1/2 x + 7

m = -1/2

product of slopes is -1

so perpendicular slope is 2

3 0
3 years ago
A recent article reported that a job awaits only one in three new college graduates. The major reasons given were an overabundan
nikitadnepr [17]

Answer:

z=\frac{0.4 -0.33}{\sqrt{\frac{0.33(1-0.33)}{200}}}=2.105  

p_v =P(z>2.105)=0.018  

If we compare the p value obtained and the significance level given \alpha=0.01 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of students that had job at the school mentioned is not significantly higher then 0.33 .  

Step-by-step explanation:

1) Data given and notation  

n=200 represent the random sample taken

X=80 represent the number of students that had jobs

\hat p=\frac{80}{200}=0.4 estimated proportion of students that had jobs

p_o=0.3333 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion of students that have jobs at the school mentioned is higher than the reported value at the article:  

Null hypothesis: p\leq 0.33  

Alternative hypothesis:p > 0.33  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.4 -0.33}{\sqrt{\frac{0.33(1-0.33)}{200}}}=2.105  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.01. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.105)=0.018  

If we compare the p value obtained and the significance level given \alpha=0.01 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of students that had job at the school mentioned is not significantly higher then 0.33 .  

7 0
3 years ago
I will give brainliest if correct!!! Please show work so I know how to do it. :)
yawa3891 [41]

Answer:

.2625

Step-by-step explanation:

logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271

logb(5/3)

We know that logx ( y/z) = logx (y) - logz (z)

logb ( 5) - logb(3)

0.8271 - 0.5646

.2625

5 0
3 years ago
Read 2 more answers
Colin invests £100 into his bank account.
kramer

The answer is $131.59

After year 1

104

Year 2

108.16

Year 3

112.49

Year 4

116.98

Year 5

121.67

Year 6

126.53

Year 7

$131.59

8 0
3 years ago
Read 2 more answers
The diameter of a semicircle is 8 miles. What is the semicircle's perimeter? Use 3.14 for ​.
wlad13 [49]

Answer:

41.13 cm

Step-by-step explanation:

ITSSSS RIGHTTTTTTTTT

7 0
3 years ago
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